Issue:Invariant intuitionistic fuzzy observables - Revision history

Vassia Atanassova: doi

2026-04-06T08:20:10Z

doi

← Older revision		Revision as of 11:20, 6 April 2026
Line 16:		Line 16:
	{{issue/data		{{issue/data
	\| issue = [[Notes on Intuitionistic Fuzzy Sets/32/1\|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1]], pages 1–14		\| issue = [[Notes on Intuitionistic Fuzzy Sets/32/1\|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1]], pages 1–14
	\| doi = https://doi.org/10.7546/nifs.32.1.1-14		\| doi = https://doi.org/10.7546/nifs.2026.32.1.1-14
	\| file = NIFS-32-1-001-014.pdf		\| file = NIFS-32-1-001-014.pdf
	\| format = PDF		\| format = PDF

Vassia Atanassova at 21:09, 24 February 2026

2026-02-24T21:09:06Z

← Older revision		Revision as of 00:09, 25 February 2026
Line 21:		Line 21:
	\| size = 222		\| size = 222
	\| abstract = The aim of this contribution is showed that a sequence of Cesaro means of intuitionistic fuzzy observables has an invariant limit '''m'''-almost everywhere, where '''m''' is an intuitionistic fuzzy state. We proved that this limit is an invariant intuitionistic fuzzy observable for a special type of intuitionistic fuzzy observables called P-intuitionistic fuzzy observables. We formulated the modification of the Individual Ergodic Theorem for this case of intuitionistic fuzzy observables.		\| abstract = The aim of this contribution is showed that a sequence of Cesaro means of intuitionistic fuzzy observables has an invariant limit '''m'''-almost everywhere, where '''m''' is an intuitionistic fuzzy state. We proved that this limit is an invariant intuitionistic fuzzy observable for a special type of intuitionistic fuzzy observables called P-intuitionistic fuzzy observables. We formulated the modification of the Individual Ergodic Theorem for this case of intuitionistic fuzzy observables.
	\| keywords = Intuitionistic fuzzy observable, Intuitionistic fuzzy state, Almost everywhere convergence, Almost everywhere coincidence, Joint intuitionistic fuzzy observable, Product, Invariant intuitionistic fuzzy observable, Cesaro means, P-intuitionistic fuzzy observable, Individual Ergodic Theorem. .		\| keywords = Intuitionistic fuzzy observable, Intuitionistic fuzzy state, Almost everywhere convergence, Almost everywhere coincidence, Joint intuitionistic fuzzy observable, Product, Invariant intuitionistic fuzzy observable, Cesaro means, P-intuitionistic fuzzy observable, Individual Ergodic Theorem.
	\| ams = 60A86, 60A10, 60F17, 28D05, 37A30.		\| ams = 60A86, 60A10, 60F17, 28D05, 37A30.
	\| references =		\| references =

Vassia Atanassova: 32/1

2026-02-24T21:08:49Z

32/1

← Older revision		Revision as of 00:08, 25 February 2026
Line 15:		Line 15:
	}}		}}
	{{issue/data		{{issue/data
	\| issue = [[Notes on Intuitionistic Fuzzy Sets/31/2\|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1]], pages 1–14		\| issue = [[Notes on Intuitionistic Fuzzy Sets/32/1\|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1]], pages 1–14
	\| doi = https://doi.org/10.7546/nifs.32.1.1-14		\| doi = https://doi.org/10.7546/nifs.32.1.1-14
	\| file = NIFS-32-1-001-014.pdf		\| file = NIFS-32-1-001-014.pdf

Vassia Atanassova: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = Invariant intuitionistic fuzzy observables | shortcut = nifs/32/1/1-14 }} {{issue/author | author = Katarína Čunderlíková | institution = Mathematical Institute, Slovak Academy of Sciences | address = Stefánikova 49, 814 73 Brat..."

2026-01-24T09:16:25Z

Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = Invariant intuitionistic fuzzy observables | shortcut = nifs/32/1/1-14 }} {{issue/author | author = Katarína Čunderlíková | institution = Mathematical Institute, Slovak Academy of Sciences | address = Stefánikova 49, 814 73 Brat..."

New page

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = Invariant intuitionistic fuzzy observables
| shortcut = nifs/32/1/1-14
}}
{{issue/author
| author = Katarína Čunderlíková
| institution = Mathematical Institute, Slovak Academy of Sciences
| address = Stefánikova 49, 814 73 Bratislava, Slovakia
| email-before-at = cunderlikova.lendelova
| email-after-at = gmail.com
| orcid = 0000-0002-9772-2717
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/31/2|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1]], pages 1–14
| doi = https://doi.org/10.7546/nifs.32.1.1-14
| file = NIFS-32-1-001-014.pdf
| format = PDF
| size = 222
| abstract = The aim of this contribution is showed that a sequence of Cesaro means of intuitionistic fuzzy observables has an invariant limit '''m'''-almost everywhere, where '''m''' is an intuitionistic fuzzy state. We proved that this limit is an invariant intuitionistic fuzzy observable for a special type of intuitionistic fuzzy observables called P-intuitionistic fuzzy observables. We formulated the modification of the Individual Ergodic Theorem for this case of intuitionistic fuzzy observables.
| keywords = Intuitionistic fuzzy observable, Intuitionistic fuzzy state, Almost everywhere convergence, Almost everywhere coincidence, Joint intuitionistic fuzzy observable, Product, Invariant intuitionistic fuzzy observable, Cesaro means, P-intuitionistic fuzzy observable, Individual Ergodic Theorem. .
| ams = 60A86, 60A10, 60F17, 28D05, 37A30.
| references =
# Atanassov, K. T. (1983). Intuitionistic fuzzy sets. VII ITKR Session, Sofia, 20-23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 20(1), S1–S6.
# Atanassov, K. T. (1999). [[Intuitionistic Fuzzy Sets: Theory and Applications]]. Physica Verlag, New York.
# Atanassov, K. T. (2012). [[On Intuitionistic Fuzzy Sets]]. Springer, Berlin.
# Čunderlíková, K. (2018). [[Issue:Upper and lower limits and m-almost everywhere convergence of intuitionistic fuzzy observables|Upper and lower limits and m-almost everywhere convergence of intuitionistic fuzzy observables]]. Notes on Intuitionistic Fuzzy Sets, 24(4), 40–49.
# Čunderlíková, K. (2019). [[Issue:m-almost everywhere convergence of intuitionistic fuzzy observables induced by Borel measurable function|m-almost everywhere convergence of intuitionistic fuzzy observables induced by Borel measurable function]]. Notes on Intuitionistic Fuzzy Sets, 25(2), 29–40.
# Čunderlíková, K. (2020). [[Issue:A note on mean value and dispersion of intuitionistic fuzzy events|A note on mean value and dispersion of intuitionistic fuzzy events]]. Notes on Intuitionistic Fuzzy Sets, 26(4), 1–8.
# Čunderlíková, K. (2020). Individual ergodic theorem for intuitionistic fuzzy observables using intuitionistic fuzzy state. Iranian Journal of Fuzzy Systems, 17(5), 13–22.
# Čunderlíková, K. (2025). [[Issue:Coincidence of intuitionistic fuzzy observables|Coincidence of intuitionistic fuzzy observables]]. Notes on Intuitionistic Fuzzy Sets, 31(4), 458-464.
# Jurečková, M. (2003). The addition to the ergodic theorem on probability MV-algebras with product. Soft Computing, 7, 472–475.
# Jurečková, M., & Riečan, B. (2005). Invariant observables and the Individual Ergodic Theorem. International Journal of Theoretical Physics, 44, 1587–1597.
# Lendelová, K. (2006). Conditional IF-probability. Advances in Soft Computing: Soft Methods for Integrated Uncertainty Modelling, 37, Springer, Berlin, Heidelberg, 275–283.
# Riečan, B. (2006). On the probability and random variables on IF events. Applied Artificial Intelligence, Proc. 7th FLINS Conference, Genova (Ruan, D., et al. (Eds.). 138–145.
# Riečan, B. (2012). Analysis of fuzzy logic models, Intelligent systems (Koleshko, V. (Ed.). INTECH, 219–244.
# Riečan, B., & Neubrunn, T. (1997). Integral, Measure, and Ordering. Kluwer Academic Publishers, Dordrecht and Ister Science, Bratislava.

| citations =
| see-also =
}}